{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Optional Lab: Gradient Descent for Logistic Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Goals\n",
    "In this lab, you will:\n",
    "- update gradient descent for logistic regression.\n",
    "- explore gradient descent on a familiar data set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "import copy, math\n",
    "import numpy as np\n",
    "%matplotlib widget\n",
    "import matplotlib.pyplot as plt\n",
    "from lab_utils_common import  dlc, plot_data, plt_tumor_data, sigmoid, compute_cost_logistic\n",
    "from plt_quad_logistic import plt_quad_logistic, plt_prob\n",
    "plt.style.use('./deeplearning.mplstyle')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Data set \n",
    "Let's start with the same two feature data set used in the decision boundary lab."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "X_train = np.array([[0.5, 1.5], [1,1], [1.5, 0.5], [3, 0.5], [2, 2], [1, 2.5]])\n",
    "y_train = np.array([0, 0, 0, 1, 1, 1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "As before, we'll use a helper function to plot this data. The data points with label $y=1$ are shown as red crosses, while the data points with label $y=0$ are shown as blue circles."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "Canvas(footer_visible=False, header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', …",
      "image/png": "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",
      "text/html": "\n            <div style=\"display: inline-block;\">\n                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n                    Figure\n                </div>\n                <img src='' width=400.0/>\n            </div>\n        ",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "43d7811257e14d9dbb8b37981066b70f"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(1,1,figsize=(4,4))\n",
    "plot_data(X_train, y_train, ax)\n",
    "\n",
    "ax.axis([0, 4, 0, 3.5])\n",
    "ax.set_ylabel('$x_1$', fontsize=12)\n",
    "ax.set_xlabel('$x_0$', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Logistic Gradient Descent\n",
    "<img align=\"right\" src=\"./images/C1_W3_Logistic_gradient_descent.png\"     style=\" width:400px; padding: 10px; \" >\n",
    "\n",
    "Recall the gradient descent algorithm utilizes the gradient calculation:\n",
    "$$\\begin{align*}\n",
    "&\\text{repeat until convergence:} \\; \\lbrace \\\\\n",
    "&  \\; \\; \\;w_j = w_j -  \\alpha \\frac{\\partial J(\\mathbf{w},b)}{\\partial w_j} \\tag{1}  \\; & \\text{for j := 0..n-1} \\\\ \n",
    "&  \\; \\; \\;  \\; \\;b = b -  \\alpha \\frac{\\partial J(\\mathbf{w},b)}{\\partial b} \\\\\n",
    "&\\rbrace\n",
    "\\end{align*}$$\n",
    "\n",
    "Where each iteration performs simultaneous updates on $w_j$ for all $j$, where\n",
    "$$\\begin{align*}\n",
    "\\frac{\\partial J(\\mathbf{w},b)}{\\partial w_j}  &= \\frac{1}{m} \\sum\\limits_{i = 0}^{m-1} (f_{\\mathbf{w},b}(\\mathbf{x}^{(i)}) - y^{(i)})x_{j}^{(i)} \\tag{2} \\\\\n",
    "\\frac{\\partial J(\\mathbf{w},b)}{\\partial b}  &= \\frac{1}{m} \\sum\\limits_{i = 0}^{m-1} (f_{\\mathbf{w},b}(\\mathbf{x}^{(i)}) - y^{(i)}) \\tag{3} \n",
    "\\end{align*}$$\n",
    "\n",
    "* m is the number of training examples in the data set      \n",
    "* $f_{\\mathbf{w},b}(x^{(i)})$ is the model's prediction, while $y^{(i)}$ is the target\n",
    "* For a logistic regression model  \n",
    "    $z = \\mathbf{w} \\cdot \\mathbf{x} + b$  \n",
    "    $f_{\\mathbf{w},b}(x) = g(z)$  \n",
    "    where $g(z)$ is the sigmoid function:  \n",
    "    $g(z) = \\frac{1}{1+e^{-z}}$   \n",
    "    \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Gradient Descent Implementation\n",
    "The gradient descent algorithm implementation has two components: \n",
    "- The loop implementing equation (1) above. This is `gradient_descent` below and is generally provided to you in optional and practice labs.\n",
    "- The calculation of the current gradient, equations (2,3) above. This is `compute_gradient_logistic` below. You will be asked to implement this week's practice lab.\n",
    "\n",
    "#### Calculating the Gradient, Code Description\n",
    "Implements equation (2),(3) above for all $w_j$ and $b$.\n",
    "There are many ways to implement this. Outlined below is this:\n",
    "- initialize variables to accumulate `dj_dw` and `dj_db`\n",
    "- for each example\n",
    "    - calculate the error for that example $g(\\mathbf{w} \\cdot \\mathbf{x}^{(i)} + b) - \\mathbf{y}^{(i)}$\n",
    "    - for each input value $x_{j}^{(i)}$ in this example,  \n",
    "        - multiply the error by the input  $x_{j}^{(i)}$, and add to the corresponding element of `dj_dw`. (equation 2 above)\n",
    "    - add the error to `dj_db` (equation 3 above)\n",
    "\n",
    "- divide `dj_db` and `dj_dw` by total number of examples (m)\n",
    "- note that $\\mathbf{x}^{(i)}$ in numpy `X[i,:]` or `X[i]`  and $x_{j}^{(i)}$ is `X[i,j]`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "def compute_gradient_logistic(X, y, w, b): \n",
    "    \"\"\"\n",
    "    Computes the gradient for linear regression \n",
    " \n",
    "    Args:\n",
    "      X (ndarray (m,n): Data, m examples with n features\n",
    "      y (ndarray (m,)): target values\n",
    "      w (ndarray (n,)): model parameters  \n",
    "      b (scalar)      : model parameter\n",
    "    Returns\n",
    "      dj_dw (ndarray (n,)): The gradient of the cost w.r.t. the parameters w. \n",
    "      dj_db (scalar)      : The gradient of the cost w.r.t. the parameter b. \n",
    "    \"\"\"\n",
    "    m,n = X.shape\n",
    "    dj_dw = np.zeros((n,))                           #(n,)\n",
    "    dj_db = 0.\n",
    "\n",
    "    for i in range(m):\n",
    "        f_wb_i = sigmoid(np.dot(X[i],w) + b)          #(n,)(n,)=scalar\n",
    "        err_i  = f_wb_i  - y[i]                       #scalar\n",
    "        for j in range(n):\n",
    "            dj_dw[j] = dj_dw[j] + err_i * X[i,j]      #scalar\n",
    "        dj_db = dj_db + err_i\n",
    "    dj_dw = dj_dw/m                                   #(n,)\n",
    "    dj_db = dj_db/m                                   #scalar\n",
    "        \n",
    "    return dj_db, dj_dw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "Check the implementation of the gradient function using the cell below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dj_db: 0.49861806546328574\n",
      "dj_dw: [0.498333393278696, 0.49883942983996693]\n"
     ]
    }
   ],
   "source": [
    "X_tmp = np.array([[0.5, 1.5], [1,1], [1.5, 0.5], [3, 0.5], [2, 2], [1, 2.5]])\n",
    "y_tmp = np.array([0, 0, 0, 1, 1, 1])\n",
    "w_tmp = np.array([2.,3.])\n",
    "b_tmp = 1.\n",
    "dj_db_tmp, dj_dw_tmp = compute_gradient_logistic(X_tmp, y_tmp, w_tmp, b_tmp)\n",
    "print(f\"dj_db: {dj_db_tmp}\" )\n",
    "print(f\"dj_dw: {dj_dw_tmp.tolist()}\" )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "**Expected output**\n",
    "``` \n",
    "dj_db: 0.49861806546328574\n",
    "dj_dw: [0.498333393278696, 0.49883942983996693]\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "#### Gradient Descent Code \n",
    "The code implementing equation (1) above is implemented below. Take a moment to locate and compare the functions in the routine to the equations above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "def gradient_descent(X, y, w_in, b_in, alpha, num_iters): \n",
    "    \"\"\"\n",
    "    Performs batch gradient descent\n",
    "    \n",
    "    Args:\n",
    "      X (ndarray (m,n)   : Data, m examples with n features\n",
    "      y (ndarray (m,))   : target values\n",
    "      w_in (ndarray (n,)): Initial values of model parameters  \n",
    "      b_in (scalar)      : Initial values of model parameter\n",
    "      alpha (float)      : Learning rate\n",
    "      num_iters (scalar) : number of iterations to run gradient descent\n",
    "      \n",
    "    Returns:\n",
    "      w (ndarray (n,))   : Updated values of parameters\n",
    "      b (scalar)         : Updated value of parameter \n",
    "    \"\"\"\n",
    "    # An array to store cost J and w's at each iteration primarily for graphing later\n",
    "    J_history = []\n",
    "    w = copy.deepcopy(w_in)  #avoid modifying global w within function\n",
    "    b = b_in\n",
    "    \n",
    "    for i in range(num_iters):\n",
    "        # Calculate the gradient and update the parameters\n",
    "        dj_db, dj_dw = compute_gradient_logistic(X, y, w, b)   \n",
    "\n",
    "        # Update Parameters using w, b, alpha and gradient\n",
    "        w = w - alpha * dj_dw               \n",
    "        b = b - alpha * dj_db               \n",
    "      \n",
    "        # Save cost J at each iteration\n",
    "        if i<100000:      # prevent resource exhaustion \n",
    "            J_history.append( compute_cost_logistic(X, y, w, b) )\n",
    "\n",
    "        # Print cost every at intervals 10 times or as many iterations if < 10\n",
    "        if i% math.ceil(num_iters / 10) == 0:\n",
    "            print(f\"Iteration {i:4d}: Cost {J_history[-1]}   \")\n",
    "        \n",
    "    return w, b, J_history         #return final w,b and J history for graphing\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "Let's run gradient descent on our data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration    0: Cost 0.684610468560574   \n",
      "Iteration 1000: Cost 0.1590977666870457   \n",
      "Iteration 2000: Cost 0.08460064176930078   \n",
      "Iteration 3000: Cost 0.05705327279402531   \n",
      "Iteration 4000: Cost 0.04290759421682   \n",
      "Iteration 5000: Cost 0.03433847729884557   \n",
      "Iteration 6000: Cost 0.02860379802212006   \n",
      "Iteration 7000: Cost 0.02450156960879306   \n",
      "Iteration 8000: Cost 0.02142370332569295   \n",
      "Iteration 9000: Cost 0.019030137124109114   \n",
      "\n",
      "updated parameters: w:[5.28 5.08], b:-14.222409982019837\n"
     ]
    }
   ],
   "source": [
    "w_tmp  = np.zeros_like(X_train[0])\n",
    "b_tmp  = 0.\n",
    "alph = 0.1\n",
    "iters = 10000\n",
    "\n",
    "w_out, b_out, _ = gradient_descent(X_train, y_train, w_tmp, b_tmp, alph, iters) \n",
    "print(f\"\\nupdated parameters: w:{w_out}, b:{b_out}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "#### Let's plot the results of gradient descent:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "Canvas(footer_visible=False, header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', …",
      "image/png": "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",
      "text/html": "\n            <div style=\"display: inline-block;\">\n                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n                    Figure\n                </div>\n                <img src='' width=500.0/>\n            </div>\n        ",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "ec8ee91db69c429d905158037c7587d0"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(1,1,figsize=(5,4))\n",
    "# plot the probability \n",
    "plt_prob(ax, w_out, b_out)\n",
    "\n",
    "# Plot the original data\n",
    "ax.set_ylabel(r'$x_1$')\n",
    "ax.set_xlabel(r'$x_0$')   \n",
    "ax.axis([0, 4, 0, 3.5])\n",
    "plot_data(X_train,y_train,ax)\n",
    "\n",
    "# Plot the decision boundary\n",
    "x0 = -b_out/w_out[0]\n",
    "x1 = -b_out/w_out[1]\n",
    "ax.plot([0,x0],[x1,0], c=dlc[\"dlblue\"], lw=1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "In the plot above:\n",
    " - the shading reflects the probability y=1 (result prior to decision boundary)\n",
    " - the decision boundary is the line at which the probability = 0.5\n",
    " "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Another Data set\n",
    "Let's return to a one-variable data set. With just two parameters, $w$, $b$, it is possible to plot the cost function using a contour plot to get a better idea of what gradient descent is up to."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "x_train = np.array([0., 1, 2, 3, 4, 5])\n",
    "y_train = np.array([0,  0, 0, 1, 1, 1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "As before, we'll use a helper function to plot this data. The data points with label $y=1$ are shown as red crosses, while the data points with label $y=0$ are shown as blue circles."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "Canvas(footer_visible=False, header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', …",
      "image/png": "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",
      "text/html": "\n            <div style=\"display: inline-block;\">\n                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n                    Figure\n                </div>\n                <img src='' width=400.0/>\n            </div>\n        ",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "c721569b6edc46c3b99487769597fe1c"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(1,1,figsize=(4,3))\n",
    "plt_tumor_data(x_train, y_train, ax)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "In the plot below, try:\n",
    "- changing $w$ and $b$ by clicking within the contour plot on the upper right.\n",
    "    - changes may take a second or two\n",
    "    - note the changing value of cost on the upper left plot.\n",
    "    - note the cost is accumulated by a loss on each example (vertical dotted lines)\n",
    "- run gradient descent by clicking the orange button.\n",
    "    - note the steadily decreasing cost (contour and cost plot are in log(cost) \n",
    "    - clicking in the contour plot will reset the model for a new run\n",
    "- to reset the plot, rerun the cell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "Canvas(footer_visible=False, header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', …",
      "image/png": "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",
      "text/html": "\n            <div style=\"display: inline-block;\">\n                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n                    Figure\n                </div>\n                <img src='' width=1000.0/>\n            </div>\n        ",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "068885077e2041d1b051640a8cd297f7"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w_range = np.array([-1, 7])\n",
    "b_range = np.array([1, -14])\n",
    "quad = plt_quad_logistic( x_train, y_train, w_range, b_range )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Congratulations!\n",
    "You have:\n",
    "- examined the formulas and implementation of calculating the gradient for logistic regression\n",
    "- utilized those routines in\n",
    "    - exploring a single variable data set\n",
    "    - exploring a two-variable data set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}